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» On the Completeness of Propositional Hoare Logic
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TABLEAUX
2009
Springer
15 years 6 months ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
JSYML
2007
88views more  JSYML 2007»
14 years 11 months ago
The basic intuitionistic logic of proofs
The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete ...
Sergei N. Artëmov, Rosalie Iemhoff
WOLLIC
2009
Springer
15 years 6 months ago
Sound and Complete Tree-Sequent Calculus for Inquisitive Logic
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
Katsuhiko Sano

Book
1569views
16 years 11 months ago
Introduction to Logic
Very well organized and easy to follow book. The table of content can be downloaded from the attachment section below.
Micha l Walicki
TLCA
2009
Springer
15 years 6 months ago
On the Meaning of Logical Completeness
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...
Michele Basaldella, Kazushige Terui